JOHANNESBURG (Reuters) - South African paralympic star Oscar Pistorius is being questioned by South African police for shooting dead his girlfriend at his home in Pretoria, domestic media said on Thursday.

Johannesburg's Talk Radio 702 said Pistorius was understood to have shot his girlfriend in the head and arm, although the circumstances surrounding the incident were unclear. He may have mistaken her for a burglar, the radio report said.

A police spokeswoman told Reuters that a woman had been found dead at the house but declined to give any more details.

Pistorius, who races wearing carbon fibre prosthetic blades after he was born without a fibula in both legs, was the first double amputee to run in the Olympics and reached the 400 semi-finals in London 2012.

South Africa has some of the world's highest rates of violent crime and some home-owners carry weapons to defend themselves against intruders.

"There was the pistol by the bed, the machine gun up against the wall, the baseball bat under the window, a cricket bat too. He was concerned by safety and security to a high level, there was no doubt about that."

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South Africa's City Press is reporting that a bloodied cricket bat was found in Pistorius's home and that it may have been used against his girlfriend of four months, Reeva Steenkamp. Police are investigating several different scenarios involving the bat, including whether it was used against Steenkamp, if Pistorius used it to break through the bathroom door or if Steenkamp used it in self defense against Pistorius. It is also being reported that Steenkamp's skull was crushed. The bat was said to have been covered in "lots of blood."

In its report, City Press claims to have spoken to three sources close to the investigation. According to the sources, police have ruled out the possibility of the mistaken burglar angle and the state has a "rock-solid" case against Pistorius. We've already had reports that police were called hours earlier because of a loud argument and that Steenkamp was shot through the bathroom door. The Press sources have provided a more fleshed-out account of the events leading up to bathroom shooting.

Steenkamp was wearing her nightie at the time. When the police inspected Oscar's bedroom, they found her overnight bag and iPad on the floor. A holster for a 9mm pistol was found on Oscar's side of the bed.The bedclothes were crumpled. "It was clear that both of them had slept in the bed," said a police source.One cartridge was found in the bedroom and the police suspect Oscar may have "chased" her and fired the first shot before Steenkamp could lock herself inside the toilet."The suspicion is that the first shot, in the bedroom, hit her in the hip. She then ran and locked herself in the toilet. She was doubled over because of the pain. He fired three more shots. She probably covered her head, which is why the bullet also went through her hand," said a source.

It is unclear from this account how or when the cricket bat played into the altercation. Police requested that Pistorius's blood be analyzed for steroid and other drug use in anticipation for a "roid rage" defense.
Following the shooting, Pisotrius allegedly called his family.

Pistorius' father received a call from his son just after 3.20am on Thursday, asking him to come to his house. When his family arrived, Oscar was carrying Steenkamp's body down the stairs from his bedroom to the entrance hall. Her head and arms were "dangling".He allegedly told his sister, Aimee, that something terrible had happened and that he had mistaken Steenkamp for a burglar. The police questioned Aimee and took a sworn statement from her.Steenkamp was still breathing and Pistorius tried to resuscitate her in the foyer. Paramedics and police arrived on the scene and, minutes later, she was declared dead.